Three charges, each of magnitude 8 nC, are at separate corners of a square of ed

Question

Three charges, each of magnitude 8 nC, are at separate corners of a square of edge length 8 cm. The two charges at opposite corners are positive, and the other charge is negative. Find the force exerted by these charges on a fourth charge q = +3 nC at the remaining (upper right) corner. (Assume the +x axis is directed to the right and the +y axis is directed upward.) _____________ N i^cap You currently have 2 submissions for this question. Only 10 submission are allowed. You can make 8 more submissions for this question. ______________ N j^cap You currently have 1 submissions for this question. Only 10 submission are allowed. You can make 9 more submissions for this question.

Explanation / Answer

let

q1 = q2 = +8 nC
q3 = - 8nC

q4 = +3 nC

F1 = F2 = k*q1*q4/d^2

= 9*10^9*8*10^-9*3*10^-9/0.08^2

= 3.38*10^-5 N

here F1 and F2 perpendicular to each other.

so, F12 = sqrt(2)*F1

= sqrt(2)*3.38*10^-5

= 4.78*10^-5 N

F3 = k*q3*q4/(2*d^2)

= 9*10^9*8*10^-9*3*10^-9/(2*0.08^2)

= 1.69*10^-5 N

here F3 is opposite to F12

so,

Fnet = F12 - F3

= 4.78 - 1.69

= 3.09*10^-5 N

1) so,

Fnetx = Fnet*cos(45)

= 3.09*10^-5*cos(45)

= 2.18*10^-5 N i

2)

Fnety = Fnet*sin(45)

= 3.09*10^-5*sin(45)

= 2.18*10^-5 N j

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